凸体形状匹配的参考点

THE REFERENCE POINT OF MATCHING SHAPES

本文研究了在平移变换下凸体形状的匹配.通过估计凸体形心与凸体内可测子集形心之间的距离的方法,得到了形心之间距离的不等式和形心是凸体在形状匹配下的参考点的结论.

In this paper.we study the matching shapes of the convex bodies under the translation. By estimating the distance between the centriod of body and the centroid of measureable set in the convex body, we get an inequality about the distance between the centroids and a conclusion that the centroid of a convex body is a reference point of matching shapes under the translation.